{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.11722272317403075\n",
      "0.11482820976491873\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "matplotlib.rcParams['svg.fonttype'] = 'none'\n",
    "\n",
    "# 数据\n",
    "data = [[[2.0, 2, 2.0], [2.0, 2, 2.0], [3.0, 3, 3.0], [2.0, 4, 3.0], [3.0, 2, 2.0], [4.0, 4, 4.0], [2.0, 3, 3.0], [3.0, 4, 3.0], [2.0, 3, 2.0], [2.0, 5, 5.0], [3.0, 3, 3.0], [2.0, 3, 2.0], [2.0, 2, 2.0], [3.0, 3, 3.0], [5.0, 4, 4.0], [2.0, 3, 3.0], [2.0, 2, 2.0], [4.0, 2, 2.0], [2.0, 3, 2.0], [2.0, 2, 2.0], [3.0, 4, 4.0], [2.0, 3, 2.0], [2.0, 3, 2.0], [3.0, 4, 3.0], [3.0, 4, 4.0], [3.0, 3, 3.0], [2.0, 2, 2.0], [2.0, 2, 2.0], [2.0, 4, 4.0], [2.0, 3, 3.0], [4.0, 3, 3.0], [2.0, 2, 2.0], [2.0, 3, 2.0], [3.0, 3, 2.0], [3.0, 2, 2.0], [3.0, 3, 3.0], [4.0, 3, 3.0], [3.0, 3, 2.0], [2.0, 4, 3.0], [2.0, 2, 2.0], [2.0, 2, 2.0], [2.0, 4, 4.0], [3.0, 3, 3.0], [2.0, 2, 2.0], [3.0, 2, 2.0], [2.0, 2, 2.0], [4.0, 4, 4.0], [4.0, 4, 4.0]], [[10.0, 5, 4.0], [3.0, 6, 5.0], [4.0, 3, 3.0], [5.0, 6, 6.0], [4.0, 3, 3.0], [5.0, 5, 5.0], [4.0, 5, 4.0], [4.0, 3, 3.0], [4.0, 5, 5.0], [3.0, 3, 3.0], [4.0, 3, 3.0], [3.0, 4, 4.0], [4.0, 4, 3.0], [5.0, 5, 5.0], [3.0, 3, 3.0], [4.0, 4, 3.0], [4.0, 4, 3.0], [4.0, 4, 3.0], [6.0, 3, 3.0], [3.0, 4, 3.0], [4.0, 4, 3.0], [3.0, 3, 3.0], [4.0, 5, 4.0], [4.0, 4, 3.0], [3.0, 4, 3.0], [3.0, 5, 3.0], [3.0, 4, 4.0], [3.0, 4, 4.0], [4.0, 4, 3.0], [3.0, 4, 4.0], [3.0, 3, 3.0], [3.0, 5, 5.0], [4.0, 4, 3.0], [3.0, 3, 2.0], [3.0, 3, 3.0], [5.0, 4, 4.0], [8.0, 7, 6.0], [2.0, 3, 2.0], [4.0, 4, 4.0], [5.0, 5, 5.0], [4.0, 5, 5.0], [3.0, 4, 3.0], [5.0, 4, 4.0], [3.0, 4, 4.0], [6.0, 4, 4.0], [6.0, 5, 4.0], [4.0, 5, 4.0], [3.0, 3, 3.0]], [[8.0, 5, 5.0], [7.0, 7, 7.0], [5.0, 5, 4.0], [4.0, 5, 5.0], [3.0, 6, 4.0], [6.0, 6, 6.0], [4.0, 6, 5.0], [4.0, 4, 3.0], [5.0, 5, 4.0], [8.0, 6, 5.0], [4.0, 4, 4.0], [6.0, 4, 4.0], [6.0, 6, 5.0], [5.0, 6, 6.0], [9.0, 5, 5.0], [4.0, 7, 6.0], [4.0, 6, 6.0], [5.0, 6, 5.0], [8.0, 6, 6.0], [4.0, 4, 4.0], [4.0, 7, 6.0], [6.0, 6, 5.0], [5.0, 5, 4.0], [3.0, 5, 4.0], [9.0, 5, 5.0], [6.0, 5, 4.0], [4.0, 5, 4.0], [6.0, 6, 5.0], [6.0, 4, 4.0], [6.0, 6, 6.0], [4.0, 6, 5.0], [5.0, 5, 5.0], [4.0, 7, 7.0], [6.0, 5, 4.0], [8.0, 7, 6.0], [4.0, 5, 5.0], [5.0, 5, 4.0], [4.0, 5, 5.0], [4.0, 7, 7.0], [6.0, 6, 5.0], [4.0, 5, 4.0], [6.0, 6, 5.0], [6.0, 5, 4.0], [7.0, 5, 4.0], [8.0, 6, 6.0], [4.0, 5, 5.0], [3.0, 4, 3.0], [4.0, 7, 5.0]], [[7.0, 6, 5.0], [10.0, 8, 8.0], [12.0, 6, 6.0], [9.0, 8, 7.0], [7.0, 6, 6.0], [5.0, 6, 6.0], [4.0, 5, 4.0], [5.0, 8, 7.0], [5.0, 7, 5.0], [5.0, 6, 6.0], [7.0, 6, 4.0], [8.0, 8, 7.0], [5.0, 7, 5.0], [7.0, 6, 5.0], [5.0, 6, 4.0], [4.0, 5, 4.0], [8.0, 6, 6.0], [9.0, 5, 5.0], [6.0, 7, 5.0], [5.0, 6, 4.0], [8.0, 7, 6.0], [5.0, 5, 5.0], [5.0, 5, 5.0], [5.0, 5, 5.0], [6.0, 6, 5.0], [5.0, 6, 6.0], [6.0, 8, 7.0], [8.0, 8, 7.0], [8.0, 8, 7.0], [10.0, 8, 7.0], [5.0, 6, 5.0], [6.0, 6, 6.0], [7.0, 8, 8.0], [5.0, 6, 6.0], [4.0, 5, 3.0], [5.0, 8, 8.0], [4.0, 6, 4.0], [8.0, 7, 6.0], [9.0, 8, 7.0], [5.0, 6, 5.0], [6.0, 9, 9.0], [4.0, 7, 6.0], [8.0, 7, 6.0], [6.0, 6, 5.0], [7.0, 5, 3.0], [9.0, 7, 6.0], [7.0, 6, 5.0], [7.0, 9, 7.0]], [[7.0, 7, 7.0], [9.0, 9, 8.0], [7.0, 7, 7.0], [7.0, 6, 6.0], [10.0, 8, 8.0], [7.0, 10, 8.0], [7.0, 6, 5.0], [8.0, 7, 6.0], [8.0, 11, 10.0], [7.0, 6, 5.0], [11.0, 8, 7.0], [10.0, 10, 9.0], [6.0, 6, 6.0], [9.0, 7, 6.0], [7.0, 5, 4.0], [7.0, 9, 8.0], [10.0, 11, 11.0], [5.0, 7, 6.0], [6.0, 7, 7.0], [6.0, 6, 5.0], [9.0, 11, 10.0], [9.0, 9, 9.0], [7.0, 7, 6.0], [9.0, 7, 6.0], [9.0, 10, 10.0], [11.0, 7, 7.0], [5.0, 9, 8.0], [8.0, 9, 8.0], [8.0, 8, 8.0], [7.0, 7, 6.0], [10.0, 8, 8.0], [6.0, 8, 7.0], [12.0, 7, 7.0], [10.0, 9, 8.0], [7.0, 9, 6.0], [4.0, 6, 4.0], [6.0, 6, 6.0], [5.0, 8, 7.0], [8.0, 10, 7.0], [5.0, 7, 6.0], [8.0, 7, 6.0], [8.0, 8, 7.0], [6.0, 7, 5.0], [5.0, 7, 6.0], [6.0, 7, 7.0], [6.0, 7, 7.0], [7.0, 7, 5.0], [6.0, 7, 6.0]], [[9.0, 10, 10.0], [9.0, 11, 11.0], [10.0, 8, 8.0], [6.0, 8, 7.0], [7.0, 9, 9.0], [12.0, 12, 10.0], [7.0, 9, 9.0], [9.0, 9, 9.0], [7.0, 8, 7.0], [10.0, 9, 8.0], [8.0, 8, 7.0], [5.0, 7, 6.0], [13.0, 8, 7.0], [9.0, 8, 8.0], [8.0, 9, 9.0], [6.0, 8, 8.0], [6.0, 8, 8.0], [9.0, 8, 7.0], [9.0, 9, 6.0], [7.0, 9, 7.0], [9.0, 10, 10.0], [7.0, 8, 7.0], [6.0, 6, 5.0], [7.0, 7, 6.0], [9.0, 7, 7.0], [7.0, 6, 6.0], [10.0, 10, 10.0], [5.0, 7, 5.0], [6.0, 8, 7.0], [8.0, 8, 7.0], [13.0, 9, 7.0], [14.0, 14, 14.0], [7.0, 9, 6.0], [12.0, 12, 12.0], [7.0, 10, 9.0], [8.0, 9, 8.0], [8.0, 8, 6.0], [7.0, 9, 6.0], [9.0, 8, 7.0], [11.0, 9, 9.0], [6.0, 9, 7.0], [12.0, 8, 7.0], [17.0, 9, 9.0], [8.0, 9, 9.0], [7.0, 7, 6.0], [7.0, 8, 7.0], [7.0, 9, 8.0], [7.0, 7, 5.0]], [[12.0, 9, 8.0], [9.0, 9, 9.0], [10.0, 14, 13.0], [8.0, 8, 6.0], [9.0, 8, 6.0], [11.0, 9, 7.0], [7.0, 7, 6.0], [9.0, 10, 8.0], [8.0, 10, 9.0], [10.0, 9, 7.0], [10.0, 8, 7.0], [7.0, 8, 7.0], [11.0, 10, 9.0], [11.0, 15, 14.0], [9.0, 9, 8.0], [17.0, 10, 9.0], [7.0, 10, 9.0], [7.0, 10, 8.0], [10.0, 11, 10.0], [6.0, 8, 6.0], [6.0, 9, 8.0], [9.0, 11, 11.0], [10.0, 10, 10.0], [8.0, 9, 7.0], [7.0, 9, 7.0], [10.0, 9, 8.0], [8.0, 9, 8.0], [7.0, 8, 7.0], [8.0, 8, 8.0], [9.0, 14, 9.0], [10.0, 10, 10.0], [8.0, 9, 7.0], [8.0, 7, 6.0], [6.0, 9, 7.0], [14.0, 14, 14.0], [11.0, 14, 12.0], [8.0, 8, 8.0], [10.0, 10, 10.0], [8.0, 10, 7.0], [11.0, 12, 11.0], [10.0, 8, 8.0], [8.0, 11, 8.0], [11.0, 7, 7.0], [11.0, 8, 7.0], [15.0, 11, 8.0], [12.0, 14, 11.0], [9.0, 9, 8.0], [17.0, 11, 10.0]], [[8.0, 8, 7.0], [9.0, 12, 10.0], [27.0, 18, 17.0], [10.0, 11, 10.0], [8.0, 7, 7.0], [8.0, 10, 8.0], [15.0, 10, 9.0], [9.0, 8, 6.0], [11.0, 9, 7.0], [7.0, 11, 9.0], [8.0, 11, 10.0], [15.0, 12, 12.0], [10.0, 10, 9.0], [11.0, 9, 8.0], [10.0, 11, 10.0], [10.0, 11, 9.0], [8.0, 9, 8.0], [12.0, 12, 12.0], [10.0, 9, 8.0], [11.0, 12, 9.0], [8.0, 11, 10.0], [12.0, 12, 12.0], [15.0, 14, 13.0], [11.0, 11, 11.0], [14.0, 12, 10.0], [7.0, 9, 9.0], [10.0, 14, 12.0], [9.0, 12, 11.0], [6.0, 9, 7.0], [8.0, 10, 9.0], [22.0, 18, 18.0], [10.0, 11, 11.0], [8.0, 10, 8.0], [11.0, 11, 11.0], [10.0, 10, 7.0], [7.0, 10, 8.0], [23.0, 13, 13.0], [11.0, 9, 8.0], [11.0, 15, 11.0], [7.0, 11, 9.0], [11.0, 10, 10.0], [15.0, 15, 15.0], [8.0, 10, 9.0], [13.0, 12, 12.0], [10.0, 8, 8.0], [18.0, 14, 13.0], [10.0, 8, 8.0], [9.0, 10, 8.0]], [[10.0, 12, 11.0], [8.0, 12, 12.0], [9.0, 10, 9.0], [9.0, 13, 10.0], [9.0, 12, 11.0], [10.0, 11, 10.0], [12.0, 11, 11.0], [9.0, 10, 9.0], [13.0, 10, 10.0], [11.0, 12, 11.0], [8.0, 10, 9.0], [10.0, 11, 9.0], [9.0, 12, 8.0], [10.0, 11, 8.0], [9.0, 12, 11.0], [22.0, 12, 12.0], [8.0, 11, 10.0], [8.0, 10, 10.0], [12.0, 12, 11.0], [9.0, 10, 8.0], [10.0, 9, 8.0], [13.0, 15, 12.0], [11.0, 11, 10.0], [10.0, 10, 9.0], [14.0, 11, 10.0], [13.0, 13, 12.0], [9.0, 11, 9.0], [8.0, 10, 8.0], [8.0, 10, 10.0], [14.0, 14, 14.0], [9.0, 10, 9.0], [10.0, 12, 10.0], [11.0, 12, 9.0], [7.0, 10, 8.0], [10.0, 9, 9.0], [11.0, 14, 11.0], [14.0, 13, 13.0], [11.0, 12, 11.0], [8.0, 13, 10.0], [16.0, 14, 14.0], [9.0, 11, 8.0], [11.0, 13, 12.0], [9.0, 10, 9.0], [9.0, 12, 8.0], [17.0, 12, 12.0], [12.0, 10, 8.0], [12.0, 12, 10.0], [7.0, 8, 7.0]], [[13.0, 12, 10.0], [11.0, 11, 8.0], [18.0, 21, 19.0], [11.0, 13, 10.0], [11.0, 13, 12.0], [9.0, 11, 9.0], [12.0, 13, 12.0], [13.0, 13, 12.0], [14.0, 13, 10.0], [14.0, 16, 13.0], [14.0, 11, 10.0], [13.0, 12, 12.0], [15.0, 15, 13.0], [9.0, 14, 13.0], [9.0, 11, 9.0], [11.0, 11, 11.0], [14.0, 11, 9.0], [11.0, 11, 10.0], [10.0, 13, 11.0], [10.0, 12, 10.0], [15.0, 10, 9.0], [20.0, 16, 14.0], [12.0, 13, 12.0], [15.0, 11, 11.0], [13.0, 13, 11.0], [9.0, 13, 11.0], [16.0, 13, 11.0], [10.0, 14, 14.0], [16.0, 14, 13.0], [9.0, 17, 16.0], [16.0, 13, 12.0], [15.0, 15, 15.0], [18.0, 15, 15.0], [10.0, 13, 11.0], [10.0, 11, 11.0], [10.0, 12, 10.0], [12.0, 12, 11.0], [15.0, 16, 14.0], [9.0, 11, 8.0], [16.0, 15, 12.0], [10.0, 15, 14.0], [15.0, 12, 11.0], [17.0, 15, 14.0], [10.0, 12, 10.0], [9.0, 15, 14.0], [12.0, 11, 10.0], [12.0, 13, 11.0], [9.0, 12, 9.0]], [[17.0, 14, 12.0], [17.0, 12, 10.0], [19.0, 14, 12.0], [14.0, 15, 12.0], [13.0, 14, 11.0], [22.0, 13, 11.0], [13.0, 14, 13.0], [15.0, 17, 15.0], [15.0, 21, 19.0], [9.0, 14, 9.0], [12.0, 15, 13.0], [28.0, 19, 17.0], [12.0, 16, 15.0], [10.0, 12, 11.0], [17.0, 14, 12.0], [15.0, 14, 13.0], [17.0, 14, 14.0], [12.0, 15, 11.0], [15.0, 16, 15.0], [11.0, 12, 10.0], [23.0, 13, 12.0], [13.0, 18, 16.0], [11.0, 16, 14.0], [20.0, 14, 14.0], [10.0, 14, 12.0], [28.0, 16, 16.0], [11.0, 12, 11.0], [15.0, 15, 15.0], [19.0, 16, 15.0], [10.0, 12, 9.0], [10.0, 14, 13.0], [15.0, 16, 13.0], [9.0, 12, 10.0], [9.0, 13, 12.0], [14.0, 14, 10.0], [11.0, 13, 10.0], [30.0, 15, 15.0], [12.0, 12, 11.0], [13.0, 16, 11.0], [12.0, 17, 15.0], [12.0, 13, 12.0], [13.0, 13, 11.0], [14.0, 14, 14.0], [12.0, 12, 11.0], [14.0, 13, 10.0], [20.0, 13, 11.0], [11.0, 14, 10.0], [12.0, 15, 12.0]], [[15.0, 13, 11.0], [12.0, 14, 11.0], [12.0, 13, 11.0], [25.0, 18, 16.0], [14.0, 17, 15.0], [19.0, 15, 13.0], [12.0, 12, 12.0], [11.0, 14, 13.0], [20.0, 26, 20.0], [23.0, 14, 14.0], [26.0, 14, 12.0], [17.0, 14, 13.0], [15.0, 14, 14.0], [19.0, 14, 13.0], [10.0, 16, 11.0], [16.0, 14, 14.0], [10.0, 18, 15.0], [12.0, 12, 11.0], [17.0, 15, 14.0], [12.0, 14, 11.0], [17.0, 15, 14.0], [11.0, 14, 11.0], [18.0, 17, 17.0], [23.0, 29, 25.0], [10.0, 12, 10.0], [28.0, 28, 26.0], [11.0, 13, 11.0], [15.0, 18, 17.0], [13.0, 14, 11.0], [14.0, 14, 12.0], [13.0, 15, 14.0], [16.0, 15, 15.0], [18.0, 14, 12.0], [21.0, 16, 14.0], [16.0, 16, 14.0], [17.0, 16, 14.0], [19.0, 17, 14.0], [11.0, 12, 12.0], [18.0, 15, 14.0], [19.0, 16, 15.0], [11.0, 13, 11.0], [16.0, 15, 15.0], [12.0, 15, 15.0], [28.0, 18, 16.0], [13.0, 15, 14.0], [19.0, 14, 14.0], [15.0, 16, 16.0], [9.0, 13, 9.0]], [[23.0, 16, 14.0], [11.0, 14, 13.0], [18.0, 18, 18.0], [13.0, 15, 14.0], [16.0, 19, 18.0], [14.0, 15, 15.0], [18.0, 18, 16.0], [19.0, 25, 20.0], [12.0, 16, 13.0], [15.0, 16, 12.0], [14.0, 14, 11.0], [18.0, 19, 16.0], [11.0, 14, 12.0], [12.0, 14, 12.0], [24.0, 28, 26.0], [18.0, 16, 14.0], [19.0, 19, 17.0], [10.0, 13, 11.0], [14.0, 18, 15.0], [12.0, 15, 13.0], [23.0, 18, 17.0], [10.0, 13, 10.0], [14.0, 14, 10.0], [30.0, 35, 31.0], [29.0, 22, 22.0], [13.0, 13, 11.0], [15.0, 19, 15.0], [26.0, 18, 18.0], [17.0, 16, 13.0], [14.0, 17, 14.0], [9.0, 14, 11.0], [32.0, 20, 18.0], [28.0, 19, 19.0], [17.0, 16, 15.0], [22.0, 18, 18.0], [13.0, 14, 12.0], [23.0, 20, 20.0], [11.0, 12, 10.0], [14.0, 16, 14.0], [14.0, 17, 17.0], [22.0, 18, 18.0], [22.0, 18, 15.0], [16.0, 15, 14.0], [19.0, 15, 13.0], [14.0, 15, 12.0], [19.0, 15, 15.0], [27.0, 19, 18.0], [17.0, 17, 16.0]], [[21.0, 19, 17.0], [15.0, 20, 17.0], [16.0, 15, 15.0], [16.0, 17, 14.0], [22.0, 20, 20.0], [22.0, 19, 19.0], [17.0, 16, 13.0], [18.0, 16, 13.0], [12.0, 18, 16.0], [21.0, 18, 16.0], [16.0, 16, 16.0], [17.0, 16, 13.0], [16.0, 18, 16.0], [28.0, 20, 19.0], [37.0, 19, 18.0], [21.0, 17, 16.0], [11.0, 13, 11.0], [26.0, 20, 19.0], [17.0, 18, 15.0], [23.0, 23, 21.0], [23.0, 18, 17.0], [24.0, 17, 14.0], [17.0, 19, 17.0], [26.0, 19, 19.0], [12.0, 15, 13.0], [10.0, 19, 19.0], [23.0, 19, 18.0], [20.0, 16, 13.0], [17.0, 15, 14.0], [21.0, 19, 17.0], [11.0, 15, 13.0], [14.0, 16, 11.0], [17.0, 17, 15.0], [17.0, 21, 16.0], [25.0, 17, 16.0], [10.0, 14, 12.0], [16.0, 18, 16.0], [11.0, 14, 11.0], [16.0, 15, 11.0], [22.0, 18, 16.0], [17.0, 19, 18.0], [16.0, 18, 17.0], [24.0, 19, 19.0], [15.0, 18, 18.0], [18.0, 18, 15.0], [16.0, 18, 15.0], [19.0, 17, 17.0], [11.0, 15, 13.0]], [[11.0, 15, 12.0], [24.0, 15, 13.0], [44.0, 44, 44.0], [28.0, 18, 15.0], [12.0, 17, 15.0], [15.0, 23, 20.0], [19.0, 18, 17.0], [15.0, 16, 15.0], [17.0, 17, 16.0], [34.0, 21, 19.0], [15.0, 18, 17.0], [25.0, 27, 27.0], [19.0, 26, 21.0], [17.0, 18, 16.0], [19.0, 16, 14.0], [16.0, 19, 18.0], [11.0, 18, 17.0], [15.0, 16, 14.0], [21.0, 20, 20.0], [17.0, 17, 17.0], [13.0, 12, 10.0], [29.0, 19, 16.0], [17.0, 15, 14.0], [25.0, 16, 14.0], [25.0, 18, 17.0], [19.0, 20, 16.0], [20.0, 30, 29.0], [11.0, 17, 13.0], [18.0, 18, 18.0], [23.0, 17, 17.0], [21.0, 25, 20.0], [15.0, 15, 12.0], [30.0, 19, 17.0], [13.0, 13, 12.0], [24.0, 17, 16.0], [16.0, 21, 18.0], [26.0, 21, 16.0], [12.0, 17, 14.0], [23.0, 21, 19.0], [15.0, 19, 16.0], [20.0, 19, 15.0], [13.0, 16, 15.0], [14.0, 17, 14.0], [15.0, 20, 16.0], [15.0, 17, 12.0], [21.0, 20, 20.0], [12.0, 15, 13.0], [45.0, 21, 19.0]], [[25.0, 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16.0], [29.0, 40, 37.0], [20.0, 18, 16.0], [26.0, 27, 26.0], [14.0, 23, 23.0], [22.0, 24, 19.0], [33.0, 25, 22.0], [23.0, 24, 21.0], [39.0, 31, 28.0], [27.0, 27, 24.0], [25.0, 21, 19.0], [20.0, 22, 17.0], [21.0, 22, 20.0], [21.0, 20, 18.0], [14.0, 20, 15.0], [25.0, 22, 19.0], [23.0, 21, 17.0], [23.0, 25, 22.0], [26.0, 21, 20.0]]]\n",
    "\n",
    "mean_data = []\n",
    "\n",
    "# 计算均值\n",
    "for i in data:\n",
    "    mean_data.append(np.mean(i, axis=0))\n",
    "\n",
    "# 提取 num_node 数组\n",
    "sd_num = list(range(10, len(data) * 10 + 10, 10))\n",
    "\n",
    "# 提取三个参数的均值列\n",
    "sp_psp = [item[0] for item in mean_data]\n",
    "rpd_gd = [item[1] for item in mean_data]\n",
    "rpsp = [item[2] for item in mean_data]\n",
    "\n",
    "sp_psp_mean = np.mean(sp_psp)\n",
    "rpd_gd_mean = np.mean(rpd_gd)\n",
    "rpsp_mean = np.mean(rpsp)\n",
    "\n",
    "# print((sp_psp_mean - rpsp_mean) / sp_psp_mean)\n",
    "# print((rpd_gd_mean - rpsp_mean) / rpd_gd_mean)\n",
    "\n",
    "print((sp_psp[19] - rpsp[19]) / sp_psp[19])\n",
    "print((rpd_gd[19] - rpsp[19]) / rpd_gd[19])\n",
    "\n",
    "# 可视化\n",
    "plt.figure(figsize=(8, 6))\n",
    "# plt.plot(sd_num, sp_gd, label='sp_gd', marker='p')\n",
    "plt.plot(sd_num, sp_psp, label='sp_psp', marker='o')\n",
    "plt.plot(sd_num, rpd_gd, label='rpd_gd', marker='s')\n",
    "plt.plot(sd_num, rpsp, label='rpsp_load_balance', marker='^')\n",
    "\n",
    "plt.xlabel('Number of QKD Request')\n",
    "plt.ylabel('Used Time Slots')\n",
    "plt.title('node_num=60, alpha=0.2')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.savefig(\"var_sd_num.svg\", format=\"svg\")\n",
    "plt.show()\n"
   ]
  }
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